TSTP Solution File: NUN069+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 16:26:03 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   31 (  10   ~;   5   |;  16   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   29 (   4 sgn  10   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(oneidone,conjecture,
    ? [X63] :
      ( id(X63,X63)
      & ? [X46] :
          ( r1(X46)
          & r2(X46,X63) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',oneidone) ).

fof(axiom_5,axiom,
    ! [X14] : id(X14,X14),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).

fof(axiom_1a,axiom,
    ! [X38,X39] :
    ? [X40] :
      ( ? [X41] :
          ( id(X41,X40)
          & ? [X42] :
              ( r2(X39,X42)
              & r3(X38,X42,X41) ) )
      & ? [X43] :
          ( r2(X43,X40)
          & r3(X38,X39,X43) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).

fof(axiom_4a,axiom,
    ! [X54] :
    ? [X55] :
      ( id(X55,X54)
      & ? [X56] :
          ( r1(X56)
          & r3(X54,X56,X55) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X63] :
        ( id(X63,X63)
        & ? [X46] :
            ( r1(X46)
            & r2(X46,X63) ) ),
    inference(assume_negation,[status(cth)],[oneidone]) ).

fof(c_0_5,negated_conjecture,
    ! [X64,X65] :
      ( ~ id(X64,X64)
      | ~ r1(X65)
      | ~ r2(X65,X64) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).

fof(c_0_6,plain,
    ! [X15] : id(X15,X15),
    inference(variable_rename,[status(thm)],[axiom_5]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r1(X1)
    | ~ id(X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X44,X45] :
      ( id(esk10_2(X44,X45),esk9_2(X44,X45))
      & r2(X45,esk11_2(X44,X45))
      & r3(X44,esk11_2(X44,X45),esk10_2(X44,X45))
      & r2(esk12_2(X44,X45),esk9_2(X44,X45))
      & r3(X44,X45,esk12_2(X44,X45)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).

fof(c_0_10,plain,
    ! [X57] :
      ( id(esk6_1(X57),X57)
      & r1(esk7_1(X57))
      & r3(X57,esk7_1(X57),esk6_1(X57)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_12,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    r1(esk7_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ~ r1(X1),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    $false,
    inference(sr,[status(thm)],[c_0_13,c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 10:41:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.017 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 16
% 0.24/1.42  # Proof object clause steps            : 7
% 0.24/1.42  # Proof object formula steps           : 9
% 0.24/1.42  # Proof object conjectures             : 6
% 0.24/1.42  # Proof object clause conjectures      : 3
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 4
% 0.24/1.42  # Proof object initial formulas used   : 4
% 0.24/1.42  # Proof object generating inferences   : 1
% 0.24/1.42  # Proof object simplifying inferences  : 3
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 19
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 59
% 0.24/1.42  # Removed in clause preprocessing      : 16
% 0.24/1.42  # Initial clauses in saturation        : 43
% 0.24/1.42  # Processed clauses                    : 44
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 0
% 0.24/1.42  # ...remaining for further processing  : 44
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 99
% 0.24/1.42  # ...of the previous two non-trivial   : 89
% 0.24/1.42  # Contextual simplify-reflections      : 0
% 0.24/1.42  # Paramodulations                      : 94
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 39
% 0.24/1.42  #    Positive orientable unit clauses  : 15
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 1
% 0.24/1.42  #    Non-unit-clauses                  : 23
% 0.24/1.42  # Current number of unprocessed clauses: 75
% 0.24/1.42  # ...number of literals in the above   : 176
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 5
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 173
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 77
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.42  # Unit Clause-clause subsumption calls : 33
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 2
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 3387
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.018 s
% 0.24/1.42  # System time              : 0.002 s
% 0.24/1.42  # Total time               : 0.020 s
% 0.24/1.42  # Maximum resident set size: 3056 pages
%------------------------------------------------------------------------------